Finding the Third Proportional to 262,611 and 382,434.75

Step by Step Solution

1. Step 1: Write the proportion equation
   262,611 : 382,434.75 = 382,434.75 : x
2. Step 2: Convert to fraction form
   262,611/382,434.75 = 382,434.75/x
3. Step 3: Cross multiply
   262,611x = 382,434.75 × 382,434.75
4. Step 4: Simplify right side
   262,611x = 146,256,338,007.56
5. Step 5: Solve for x
   x = 146,256,338,007.56/262,611
6. Step 6: Final answer
   x = 556,931.50